Last updated on May 26th, 2025
Factors are the numbers that divide any given number evenly without remainder. In daily life, we use factors for tasks like sharing items equally, arranging things, etc. In this topic, we will learn about the factors of 1490, how they are used in real life, and the tips to learn them quickly.
The numbers that divide 1490 evenly are known as factors of 1490.
A factor of 1490 is a number that divides the number without remainder.
The factors of 1490 are 1, 2, 5, 10, 149, 298, 745, and 1490.
Negative factors of 1490: -1, -2, -5, -10, -149, -298, -745, and -1490.
Prime factors of 1490: 2, 5, and 149.
Prime factorization of 1490: 2 × 5 × 149.
The sum of factors of 1490: 1 + 2 + 5 + 10 + 149 + 298 + 745 + 1490 = 2700
Factors can be found using different methods. Mentioned below are some commonly used methods:
To find factors using multiplication, we need to identify the pairs of numbers that are multiplied to give 1490. Identifying the numbers which are multiplied to get the number 1490 is the multiplication method.
Step 1: Multiply 1490 by 1, 1490 × 1 = 1490.
Step 2: Check for other numbers that give 1490 after multiplying
2 × 745 = 1490
5 × 298 = 1490
10 × 149 = 1490
Therefore, the positive factor pairs of 1490 are: (1, 1490), (2, 745), (5, 298), (10, 149). All these factor pairs result in 1490.
For every positive factor, there is a negative factor.
Dividing the given numbers with the whole numbers until the remainder becomes zero and listing out the numbers which result as whole numbers as factors. Factors can be calculated by following a simple division method
Step 1: Divide 1490 by 1, 1490 ÷ 1 = 1490.
Step 2: Continue dividing 1490 by the numbers until the remainder becomes 0.
1490 ÷ 1 = 1490
1490 ÷ 2 = 745
1490 ÷ 5 = 298
1490 ÷ 10 = 149
Therefore, the factors of 1490 are: 1, 2, 5, 10, 149, 298, 745, 1490.
The factors can be found by dividing it with prime numbers. We can find the prime factors using the following methods:
Using Prime Factorization: In this process, prime factors of 1490 divide the number to break it down in the multiplication form of prime factors till the remainder becomes 1.
1490 ÷ 2 = 745
745 ÷ 5 = 149
149 ÷ 149 = 1
The prime factors of 1490 are 2, 5, and 149.
The prime factorization of 1490 is: 2 × 5 × 149.
The factor tree is the graphical representation of breaking down any number into prime factors. The following step shows -
Step 1: Firstly, 1490 is divided by 2 to get 745.
Step 2: Now divide 745 by 5 to get 149.
Step 3: 149 is a prime number and cannot be divided further. So, the prime factorization of 1490 is: 2 × 5 × 149.
Factor Pairs: Two numbers that are multiplied to give a specific number are called factor pairs. Both positive and negative factors constitute factor pairs.
Positive factor pairs of 1490: (1, 1490), (2, 745), (5, 298), (10, 149).
Negative factor pairs of 1490: (-1, -1490), (-2, -745), (-5, -298), (-10, -149).
Mistakes are common while finding factors. We can identify and correct those mistakes using the following common mistakes and the ways to avoid them.
There are 149 students and 1490 candies. How will they divide it equally?
They will get 10 candies each.
To divide the candies equally, we need to divide the total candies with the number of students.
1490/149 = 10
A field is rectangular, the length of the field is 5 meters and the total area is 1490 square meters. Find the width?
298 meters.
To find the width of the field, we use the formula, Area = length × width
1490 = 5 × width
To find the value of width, we need to shift 5 to the left side.
1490/5 = width
Width = 298.
There are 298 gift bags and 1490 chocolates. How many chocolates will be in each bag?
Each bag will have 5 chocolates.
To find the chocolates in each bag, divide the total chocolates with the bags.
1490/298 = 5
In a class, there are 1490 students, and 10 groups. How many students are there in each group?
There are 149 students in each group.
Dividing the students with the total groups, we will get the number of students in each group.
1490/10 = 149
1490 books need to be arranged in 5 shelves. How many books will go on each shelf?
Each of the shelves has 298 books.
Divide total books with shelves.
1490/5 = 298
Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.
: She loves to read number jokes and games.